The Numbers go Social Networking

Names and photos are clickable.

Pythagoras is thinking that a2 + b2 = c2 for right angled triangles. 12 hours ago · Comment · Like

Natural at 10am on 14 April Likes this! Rational at a ¼ past 10 on 14 April like 3,4,5 & 20,21,29 Natural at 11am on 14 April Yeah! Rational at ½ past 11 on 14 April Just thought of another: ⅗, ⅘, 1 Natural at 12pm on 14 April is confused Real at 12:07 on 14 April 1, 1, √2 and 1, √3, 2 makes me think of sin and cos Natural at 1pm on 14 April is frightened Complex at 13:07 + 00:03i on 14 April I don't get it. Pythagoras at 13:23 on 14 April Sorry Complex, how about |a|2 + |b|2 = |c|2 Irrational at 32:07 on 12 April That's just what Hitler did, you commie! Complex at 13:52 on 14 April Let's see... 8 + 4i, -3 + 6i, 5 + 10i. Yes!!!

Complex and Pythagoras are now friends. 11 hours 23i minutes ago · Comment · Like

Pythagoras has shared some photos. 11 hours ago · Comment · Like

	Pythagoras is dividing a circle's circumference by its diameter. 9 hours ago · Comment · Like
	Transcendental at e/4 pm on 14 April Likes this! Natural at 1pm on 14 April I know this one. It's three. Rational at ½ past 1 on 14 April lol. you're way off, it's 22/7, no wait... 355/113 Transcendental at π/2 pm on 14 April feels superior

	Rational has invited Natural to the group Irrationality is the square root of all evil. 8½ hours ago · Comment · Like
	Natural at 2pm on 14 April doesn't like this.

Irrational has joined the group Irrationality is the square root of all evil. √59 metres ago · Comment · Like

Pythagoras Is zero a number? 7 hours ago · Comment · Like

Rational at ¼ past 2 on 14 April Yes Real at 14:27 on 14 April yes Natural at 3pm on 14 April yes Irrational at 1 ABY Han definately shot first Complex at 15:07 + 00:08i on 14 April Yes (to zero, not to Han) Irrational at stardate -313713.3276255709 I've watched it over √17354 times and in reverse. Han shot first. That's what I'd do. Pythagoras at 15:57 on 14 April ok, ok, I get it. Zero is a number. Irrational at 19:07 on 14 April and Han shot first.

	Integer took the quiz What sort of Infinity are you? The answer is Countable. You are countable. You can be lined up one-to-one with the natural numbers. 4 hours ago · Comment · Like
	Natural at 7pm on 14 April Likes this!

Natural has invited Integer, Complex and Irrational to join the group Become more natural: square yourself 3 hours ago · Comment · Like

	Pythagoras Anyone out there know the square root of minus one? 3 hour ago · Comment · Like
	Rational at ½ past 7 on 14 April what's a square root? Imaginary at 20:27i on 14 April sqrt of -1 is i Complex at 20:28 + 0.01i on 14 April and -i Imaginary at 20:30i on 14 April oh yeah, -i too Quaternion at 21:07 + 00:29ijk on 14 April i, -i, j, -j, k and -k Pythagoras at 20:57 on 14 April Show off Natural at 9pm on 14 April what's minus one?

Irrational invited Pythagoras to join the group Han shot first 0 microseconds ago · Comment · Like

pythagoras image released under GNU Free Documentation License

Halve and Triple

Think of a whole number. If it's even, halve it. If it's odd, triple it and add one. Then repeat this procedure with the answer. Continue until you reach 1.

Did you get to 1 quickly? Or did it take a long time, going through many numbers?

It depends which number you start with. 8 is very quick, taking only three turns: 8, 4, 2, 1. But 9 takes 19 turns! (9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 18, 8, 4, 2, 1).

Can you see any patterns in the time it takes?

Here is a graph showing the path taken for all the numbers from 1 to 26. Why did I stop at 26?

Click on the graph for a larger version.